Prof. Jason D Lotay

Status

Academic Faculty

+44 1865 273550

Contact form

http://people.maths.ox.ac.uk/lotay/

ORCID iD

https://orcid.org/0000-0002-0456-4538

Research groups

Address

Mathematical Institute
University of Oxford
Andrew Wiles Building
Radcliffe Observatory Quarter
Woodstock Road
Oxford
OX2 6GG

Recent books

Lectures and Surveys on G2-Manifolds and Related Topics Karigiannis, S Leung, N Lotay, J (26 May 2020)

Recent publications

The mean curvature blows up at nondegenerate neck pinch singularities of Lagrangian mean curvature flow

Lotay, J Oliveira, G (25 Sep 2026)

Eigenforms and special holonomy

Acharya, B Cabrera, L Corbo, S Lotay, J (10 Aug 2026) doi:10.48550/arxiv.2608.09878

Coupled G2-instantons

Da Silva, A Garcia-Fernandez, M Lotay, J Sa Earp, H International Journal of Mathematics volume 37 issue 05n06 (19 Sep 2025) doi:10.1142/s0129167x25420029

Local descriptions of the heterotic SU(3) moduli space

de Lázari, H Lotay, J Sá Earp, H Svanes, E Communications in Mathematical Physics volume 406 issue 8 (02 Jul 2025) doi:10.1007/s00220-025-05309-2

Neck pinch singularities and Joyce conjectures in Lagrangian mean curvature flow with circle symmetry

Lotay, J Oliveira, G Journal of the European Mathematical Society (26 Jun 2025) doi:10.4171/jems/1661

Research interests

I work on differential geometry and geometric analysis. I am particularly interested in geometry related with special holonomy and calibrated submanifolds, geometric flows including Lagrangian mean curvature flow and the G₂-Laplacian flow, as well as gauge theory, typically in higher dimensions, and geometric problems arising from theoretical physics, such as M-Theory and heterotic String Theory.

Highlighted publications

Consequences of strong stability of minimal submanifolds

Lotay, J Schulze, F International Mathematics Research Notices volume 2020 issue 8 2352-2360 (Apr 2020) doi:10.1093/imrn/rny095

Remarks on the self-shrinking Clifford torus

Evans, C Lotay, J Schulze, F Journal für die reine und angewandte Mathematik volume 2020 issue 765 139-170 (16 Jul 2019) doi:10.1515/crelle-2019-0015

Stability of torsion-free G_2 structures along the Laplacian flow

Lotay, J Wei, Y Journal of Differential Geometry volume 111 495-526 (20 Mar 2019) doi:10.4310/jdg/1552442608

SU(2)<sup>2</sup>-invariant G<inf>2</inf>-instantons

Lotay, J Oliveira, G Mathematische Annalen volume 371 issue 1-2 961-1011 (05 Jan 2018) doi:10.1007/s00208-017-1636-x

The space of hyperkähler metrics on a 4-manifold with boundary

Fine, J Lotay, J Singer, M Forum of Mathematics, Sigma volume 5 (01 Apr 2017) doi:10.1017/fms.2017.3

Prizes, awards, and scholarships

Chancellor's Professorship, UC Berkeley, 2022-23

Simons Professor, SLMath, Berkeley, 2024

Phyllis Beddington Wiener Chair 2025-2026

Founding Fellow of the Academy for the Mathematical Sciences 2026